Main-Sequence Lifetime Estimator

Estimate how long a star spends fusing hydrogen on the main sequence from t_MS ≈ 10¹⁰(M/M☉)⁻²·⁵ yr — since fuel scales roughly with mass while burn rate scales with luminosity — with a log-log mass-vs-lifetime chart against a naive 1/M comparison, and a log-scale bar chart comparing red-dwarf and massive-star lifetimes.

Main-sequence lifetime estimator

Fuel available scales roughly with mass, but the rate a star burns it scales with luminosity — and luminosity rises steeply with mass. So t_MS ∝ M/L, commonly approximated near Sun-like masses as t_MS ≈ 10¹⁰ (M/M☉)⁻²·⁵ yr. This is an order-of-magnitude estimate, not a stellar-evolution model — it departs most from reality at the very low- and very high-mass ends.

10 Gyr
t_MS ≈ 10 Gyr (1 × 10¹⁰ yr)
M ≈ 1 M☉G-type (Sun-like)
10⁻¹ M☉10 M☉10¹ M☉10² M☉10 yr10 yr10 yr10 yr10 yr10¹⁰ yr10¹¹ yr10¹² yr10¹³ yrRed dwarf (M)Orange dwarf (K)The Sun (G)F-typeA-typeB-typeO-type

Actual (t ∝ M⁻²·⁵) — naive 1:1 fuel-to-burn-rate scaling (t ∝ 1/M). The gap between the two lines is luminosity's own steep rise with mass, doing double duty: more fuel, burned disproportionately faster.

Red dwarf (M) (0.2 M☉)
559 Gyr
Orange dwarf (K) (0.7 M☉)
24.39 Gyr
The Sun (G) (1 M☉)
10 Gyr
F-type (1.5 M☉)
3.63 Gyr
A-type (2.5 M☉)
1.01 Gyr
B-type (10 M☉)
31.62 Myr
O-type (40 M☉)
988.2 kyr

Bar length is on a log scale — the actual span between a red dwarf and a massive O-type star covers roughly six orders of magnitude, from far longer than the current age of the universe down to just a few million years.

A star’s mass decides almost everything about its life, and nowhere is that starker than in how long it lasts. A red dwarf a fifth the Sun’s mass will still be quietly fusing hydrogen long after the Sun has swelled into a red giant, shed its outer layers, and cooled to a white dwarf — while a star forty times heavier burns through its own much larger fuel supply so fast it’s gone in a few million years, a blink next to the Sun’s roughly ten-billion-year span.

The formula, and where it comes from

tMSMLt_{\rm MS} \propto \frac{M}{L}

Available hydrogen fuel scales roughly with a star’s mass. If burn rate scaled with mass too, lifetime would barely change from star to star — but burn rate actually tracks luminosity, and luminosity rises steeply with mass (roughly L ∝ M^3.5 over much of the main sequence; see this site’s Stellar Mass-Luminosity Relation Calculator). Combine the two — more fuel, burned disproportionately faster — and lifetime falls off steeply with mass:

tMS1010(MM)2.5 yrt_{\rm MS} \approx 10^{10}\left(\frac{M}{M_\odot}\right)^{-2.5}\ \text{yr}

The exponent -2.5 is exactly “1 (fuel) minus 3.5 (burn rate)” — it’s the mass-luminosity relation’s own exponent showing up here, not a separate fact about fuel. This calculator’s chart plots that actual scaling against a naive comparison line where lifetime falls off as just 1/M — as if burn rate scaled with mass alone — so you can see directly how much of the effect luminosity’s steepness accounts for.

Where this approximation holds, and where it doesn’t

This is an order-of-magnitude estimate, calibrated so a 1 M☉ star comes out close to the Sun’s own main-sequence span — not a stellar-evolution model:

Reading the visuals